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Finding the Third Proportional to 1,160.26 and 2,551.18

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Solution

The third proportional to 1,160.26 and 2,551.18 is: 5,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.26 : 2,551.18 = 2,551.18 : x
  2. Step 2: Convert to fraction form
    1,160.26/2,551.18 = 2,551.18/x
  3. Step 3: Cross multiply
    1,160.26x = 2,551.18 × 2,551.18
  4. Step 4: Simplify right side
    1,160.26x = 6,508,537.73
  5. Step 5: Solve for x
    x = 6,508,537.73/1,160.26
  6. Step 6: Final answer
    x = 5,609.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.